102275808 has 96 divisors (see below), whose sum is σ = 294204960. Its totient is φ = 30965760.

The previous prime is 102275777. The next prime is 102275809. The reversal of 102275808 is 808572201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102275809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46248 + ... + 48408.

It is an arithmetic number, because the mean of its divisors is an integer number (3064635).

Almost surely, 2^102275808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102275808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147102480).

102275808 is an abundant number, since it is smaller than the sum of its proper divisors (191929152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102275808 is a wasteful number, since it uses less digits than its factorization.

102275808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 102275808 is about 10113.1502510345. The cubic root of 102275808 is about 467.6536263866.

It can be divided in two parts, 102 and 275808, that multiplied together give a square (28132416 = 5304²).

The spelling of 102275808 in words is "one hundred two million, two hundred seventy-five thousand, eight hundred eight".